Home
Class 12
MATHS
In a library, there are 6 copies of one ...

In a library, there are 6 copies of one book, 4 copies each of two different books, 5 copies each of three different books and 3 copies each of two different books. Find the number of ways of arranging all these books in a shelf in a single row.

A

`(40!)/((2!)^(4)(3!)^(6))`

B

`(40!)/(6!.(4!)^(2)(6!)^(3))`

C

`(40!)/(6!.4!.6!)`

D

`(40!)/(6!.(4!)^(3).(6!)^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS & COMBINATIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|163 Videos
  • PERMUTATIONS & COMBINATIONS

    AAKASH SERIES|Exercise EXERCISE-I|60 Videos
  • PARTIAL FRACTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|31 Videos
  • PROBABILITY

    AAKASH SERIES|Exercise Practise Exercise|165 Videos

Similar Questions

Explore conceptually related problems

A book store has m copies each of n different books. Find the number of ways of arranging these books in a shelf.

There are 5 copies each of 4 different books. Find the number of ways of arranging these books in a shelf.

A book store has 'm' copies each of, 'n' different books. Find the number of ways of arranging the books in a shelf in a single row.

There are 4 copies (alike) each of 3 different books. Find the number of ways of arranging these 12 books in a shelf in single row.

There are 3 copies of each of 4 different books . The number of ways that they can be arranged in a shelf is

In a book-stall, there are 4 copies of one book, 5 copies of another and single copy of 5 other different books. Then the no. of ways that a person can purchase one or more books is

The number of ways in which 12 books can be put in 3 shelves, 4 on each is

AAKASH SERIES-PERMUTATIONS & COMBINATIONS-EXERCISE-II
  1. number of ways in which 4 prizes can be distributed among 5 students I...

    Text Solution

    |

  2. In an examination there are there are three multiple choice qu...

    Text Solution

    |

  3. In a library, there are 6 copies of one book, 4 copies each of two dif...

    Text Solution

    |

  4. The number of ways in which the letters of ‘ARRANGE' be arranged so th...

    Text Solution

    |

  5. The number of ways in which the letters of ‘ARRANGE' be arranged so th...

    Text Solution

    |

  6. The number of ways in which the letters of ‘ARRANGE' be arranged so th...

    Text Solution

    |

  7. The number of ways in which the letters of ‘ARRANGE' be arranged so th...

    Text Solution

    |

  8. The number of ways in which the letters of the word 'PROPORTION' be ar...

    Text Solution

    |

  9. The number of numbers greater than 50,000 that can be formed by using ...

    Text Solution

    |

  10. The number of different nine digit numbers can be formed from the numb...

    Text Solution

    |

  11. The number of different numbers that be can be formed by using ...

    Text Solution

    |

  12. The total number of ways in which six '+' and four '-' sign b...

    Text Solution

    |

  13. There are (n+1) white similar balls and (n+1) black balls of different...

    Text Solution

    |

  14. Number of circular permutations of 15 things taken 5 at a time in one ...

    Text Solution

    |

  15. The number of ways in which 5 boy and 4 girls sit around a cir...

    Text Solution

    |

  16. Find the number of ways of arranging 8 men and 4 women around a circul...

    Text Solution

    |

  17. Number of ways in which 6 ladies and 6 gentlemen be seated at a round ...

    Text Solution

    |

  18. The number of ways of arranging 9 persons around a circle if there are...

    Text Solution

    |

  19. The number of ways in which 6 gentlemen and 3 ladies be seated round a...

    Text Solution

    |

  20. 20 persons are invited for a party . The different number of wa...

    Text Solution

    |